Abstract
Stability conditions are established in the problem of two gravitationally interacting rigid bodies, designated here as the full two-body problem. The stability conditions are derived using basic principles from the N-body problem which can be carried over to the full two-body problem. Sufficient conditions for Hill stability and instability, and for stability against impact are derived. The analysis is applicable to binary small-body systems such as have been found recently for asteroids and Kuiper belt objects.
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© 2002 Springer Science+Business Media Dordrecht
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Scheeres, D.J. (2002). Stability in the Full Two-Body Problem. In: Celletti, A., Ferraz-Mello, S., Henrard, J. (eds) Modern Celestial Mechanics: From Theory to Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2304-6_10
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DOI: https://doi.org/10.1007/978-94-017-2304-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6078-5
Online ISBN: 978-94-017-2304-6
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